Finite Difference Method

Related lectures (28)

Page 3 of 3

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

Covers the basics of Newton interpolation and interpolation polynomials using Lagrange and Newton methods.

Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.

Covers error division and schemes for solving differential equations.

Explores the stability analysis of finite difference methods for solving differential equations.